Non-equilibrium current cumulants and moments with a point-like defect
arXiv:1601.01819 · doi:10.1088/1751-8113/49/26/265002
Abstract
We derive the exact n-point current expectation values in the Landauer-Buttiker non-equilibrium steady state of a multi terminal system with star graph geometry and a point-like defect localised in the vertex. The current cumulants are extracted from the connected correlation functions and the cumulant generating function is established. We determine the moments, show that the associated moment problem has a unique solution and reconstruct explicitly the corresponding probability distribution. The basic building blocks of this distribution are the probabilities of particle emission and absorption from the heat reservoirs, driving the system away from equilibrium. We derive and analyse in detail these probabilities, showing that they fully describe the quantum transport problem in the system.
LaTex 1+20 pages, 4 figures
References in corpus (9)
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
- Scattering matrix approach to the description of quantum electron transport
- Detection of interactions via generalized factorial cumulants in systems in and out of equilibrium
- Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
- Non-Equilibrium Conformal Field Theories with Impurities
- Topologically protected charge transfer along the edge of a chiral -wave superconductor
- Nonequilibrium transport through quantum-wire junctions and boundary defects for free massless bosonic fields